Merry Go Round (MGR) has a radius of 18 meters. At t = 0, the Merry Go Round (MGR) has an angular velocity of 1.2 radians/second. The MGR also has a constant angular acceleration. After 3 seconds have elapsed, MGR has an angular velocity of 2.5 radians/second. A RIDER IS STANDING AT THE OUTER EDGE OF THE MGR.(a) What is the angular acceleration of the MGR? radians/s^2

A few kids decide to go to the park to go on the merry-go-round. They are the only ones there so the merry-go-round is not moving yet. They push it for 3.00 s and it moves over an angle of 93.0°. What is the final angular velocity of the merry-go-round? 3.92 rad/s 5.82 rad/s 1.08 rad/s 12.8 rad/s

A merry-go-round with a radius of 6.0 m isset rotating from rest in a clockwisedirection and attains an angular speed of0.50 −1rad s in 100 s. What is themagnitude and direction of the torqueexperienced by a child of mass 30 kg aboutthe centre of the merry-go-round if she issitting at a distance of 3.0 m from thecentre ?What is her rotational kineticenergy ?

Robin (R) and Sanji (S) are riding a merry-go-round that is spinning steadily. Sanji is twice as far from the axis as is Robin, as shown below. How do their angular velocity ω and angular acceleration α compare? ωR = ωs and αR = αS ωR < ωs and αR > αS ωR < ωs and αR < αS ωR = ωs and αR < αS

A wheel initially (at t = 0) has an angular velocity of 18 rad/s.It has a constant angular acceleration with a magnitude of 2.0 rad/s2 and at t = 0 the angular velocity is decreasing.At what time t is the angular velocity equal to 18 rad/s in the direction opposite to the initial angular velocity?Express your answer in seconds.

A merry-go-round is a playground ride that consists of a large disk mounted to that it can freely rotate in a horizontal plane. The merry-go-round shown is initially at rest, has a radius R = 1.3 meters, and a mass M = 226 kg. A small boy of mass m = 47 kg runs tangentially to the merry-go-round at a speed of v = 2.1 m/s, and jumps on. Part (a) Calculate the moment of inertia of the merry-go-round, in kg ⋅ m2. Part (b) Immediately before the boy jumps on the merry go round, calculate his angular speed (in radians/second) about the central axis of the merry-go-round. Part (c) Immediately after the boy jumps on the merry go round, calculate the angular speed in radians/second of the merry-go-round and boy. Part (d) The boy then crawls towards the center of the merry-go-round along a radius. What is the angular speed in radians/second of the merry-go-round when the boy is half way between the edge and the center of the merry go round? Part (e) The boy then crawls to the center of the merry-go-round. What is the angular speed in radians/second of the merry-go-round when the boy is at the center of the merry go round? Part (f) Finally, the boy decides that he has had enough fun. He decides to crawl to the outer edge of the merry-go-round and jump off. Somehow, he manages to jump in such a way that he hits the ground with zero velocity with respect to the ground. What is the angular speed in radians/second of the merry-go-round after the boy jumps off?